Global branching for discontinuous problems involving the p-Laplacian

Guowei Dai, Ruyun Ma
Abstract:
In this article, we study elliptic problems with discontinuous
nonlinearities involving the p-Laplacian both in bounded and
unbounded domains. We prove that there exists a global branch
of positive solutions under some suitable assumptions of the nonlinearities.
Our results extend the corresponding ones of the Laplacian due to Ambrosetti,
et al.